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Multifluxon dynamics in driven Josephson junctions

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Abstract

The dynamics of fluxons in a long Josephson junction driven by time-varying nonuniform bias currents are described by a generalization of the sine-Gordon equation. This equation has solitary wave solutions which correspond to current vortices or quantized packets of magnetic flux in the junction. As with the sine-Gordon equation, multifluxon solutions may be demonstrated for the long Josephson junction. Our numerical calculations show that several fluxons may be launched or annihilated at the end of a junction. We also show multiple steady state conditions which correspond to one or more flux quanta trapped in the junction.

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Authors and Affiliations

  1. Hughes Aircraft Company, 6155 El Camino Real, 92008, Carlsbad, California

    Albert Lawrence & Nung Soo Kim

  2. Hughes Aircraft Company, P. O. Box 9399, 90810, Long Beach, California

    James McDaniel & Michael Jack

Authors
  1. Albert Lawrence
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  2. Nung Soo Kim
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  3. James McDaniel
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  4. Michael Jack
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Lawrence, A., Kim, N.S., McDaniel, J. et al. Multifluxon dynamics in driven Josephson junctions. J Stat Phys 39, 563–581 (1985). https://doi.org/10.1007/BF01008352

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